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The Divergence of a Vector Field: Sources and Sinks

This video introduces the divergence operator from vector calculus, which takes a vector field (like the fluid flow of air in a room) and returns a scalar field quantifying how much the vector field is locally expanding or contracting at every point. The divergence is a fundamental building block in vector calculus. @eigensteve on Twitter eigensteve.com databookuw.com This video was produced at the University of Washington %%% CHAPTERS %%% 0:00 Introduction & Overview 3:30 The Divergence is a Linear Operator 4:41 Example of Positive Divergence 8:05 Example of Negative Divergence 10:25 Example of Zero Divergence 13:58 Vector Field is a Differential Equation 16:17 Recap 17:20 Divergence of a Gradient is the Laplacian